Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 7 - Section 7.1 - Rational Expressions and Their Simplification - Exercise Set: 38

Answer

$\frac{1}{x-3}$

Work Step by Step

To simplify, divide both the numerator and denominator by their greatest common factor. Use the the factorization to find the GCF. $\frac{x+2}{x^2-x-6}=\frac{(x+2)}{(x+2)(x-3)}=\frac{(x+2)\div(x+2)}{(x+2)(x-3)\div(x+2)}=\frac{1}{x-3}$
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